2138979965640 has 576 divisors, whose sum is σ = 8019189734400. Its totient is φ = 454947913728.

The previous prime is 2138979965609. The next prime is 2138979965693. The reversal of 2138979965640 is 465699798312.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 151232409 + ... + 151246551.

It is an arithmetic number, because the mean of its divisors is an integer number (13922204400).

It is a 1-persistent number, because it is pandigital, but 2⋅2138979965640 = 4277959931280 is not.

Almost surely, 2^{2138979965640} is an apocalyptic number.

2138979965640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138979965640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009594867200).

2138979965640 is an abundant number, since it is smaller than the sum of its proper divisors (5880209768760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2138979965640 is a wasteful number, since it uses less digits than its factorization.

2138979965640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14294 (or 14266 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 69.

The spelling of 2138979965640 in words is "two trillion, one hundred thirty-eight billion, nine hundred seventy-nine million, nine hundred sixty-five thousand, six hundred forty".